This book investigates the mathematical analysis of biological invasions. Unlike purely qualitative treatments of ecology, it draws on mathematical theory and methods, equipping the reader with sharp tools and rigorous methodology. Subjects include invasion dynamics, species interactions, population spread, long-distance dispersal, stochastic effects, risk analysis, and optimal responses to invaders. While based on the theory of dynamical systems, including partial differential equations and integrodifference equations, the book also draws on information theory, machine learning, Monte Carlo methods, optimal control, statistics, and stochastic processes. Applications to real biological invasions are included throughout. Ultimately, the book imparts a powerful principle: that by bringing ecology and mathematics together, researchers can uncover new understanding of, and effective response strategies to, biological invasions. It is suitable for graduate students and established researchers in mathematical ecology.

Darlington from Anglo-Saxon settlement to thriving town, via the middle ages and the coming of the railway. It is exactly a thousand years since Darlington first appeared in written records. During the following millennium, the small Anglo-Saxon settlement grew into today's thriving town, its history now generally linked in the public mind with entrepreneurial Quakers and the birth of railways. But as this book shows, Darlington's history encompasses many more diverse aspects in the change from medieval village to modern town. Through a survey of its physical development, the book describes how the town flourished in the middle ages; was largely destroyed by fire in 1585; and grew again in the seventeenth and eighteenth centuries, before the coming of the railway in the mid-1800s reinforced its prosperity. Its story is taken up to the present day, showing how Darlington is characterised by residential suburbs, with a town centre where Victorian and eighteenth-century buildings populate the original medieval streets. Dr GILL COOKSON is the County Editor for the Victoria County History of Durham.

This book investigates the mathematical analysis of biological invasions. Unlike purely qualitative treatments of ecology, it draws on mathematical theory and methods, equipping the reader with sharp tools and rigorous methodology. Subjects include invasion dynamics, species interactions, population spread, long-distance dispersal, stochastic effects, risk analysis, and optimal responses to invaders. While based on the theory of dynamical systems, including partial differential equations and integrodifference equations, the book also draws on information theory, machine learning, Monte Carlo methods, optimal control, statistics, and stochastic processes. Applications to real biological invasions are included throughout. Ultimately, the book imparts a powerful principle: that by bringing ecology and mathematics together, researchers can uncover new understanding of, and effective response strategies to, biological invasions. It is suitable for graduate students and established researchers in mathematical ecology.

Religious Architecture in Latium and Etruria c. 900-500 BC presents the first comprehensive treatment of cult buildings in western central Italy from the Iron Age to the Archaic Period. By analysing the archaeological evidence for the form of early religious buildings and their role in ancient communities, it reconstructs a detailed history of early Latial and Etruscan religious architecture that brings together the buildings and the people who used them. The first part of the study examines the processes by which religious buildings changed from huts and shrines to monumental temples, and explores apparent differences between these processes in Latium and Etruria. The second part analyses the broader architectural, religious, and topographical contexts of the first Etrusco-Italic temples alongside possible rationales for their introduction. The result is a new and extensive account of when, where, and why monumental cult buildings became features of early central Italic society and set precedents for the great temples of republican Rome.

Architecture in Ancient Central Italy takes studies of individual elements and sites as a starting point to reconstruct a much larger picture of architecture in western central Italy as an industry, and to position the result in space (in the Mediterranean world and beyond) and time (from the second millennium BC to Late Antiquity). This volume demonstrates that buildings in pre-Roman Italy have close connections with Bronze Age and Roman architecture, with practices in local and distant societies, and with the natural world and the cosmos. It also argues that buildings serve as windows into the minds and lives of those who made and used them, revealing the concerns and character of communities in early Etruria, Rome, and Latium. Architecture consequently emerges as a valuable historical source, and moreover a part of life that shaped society as much as reflected it.

Religious Architecture in Latium and Etruria, c. 900-500 BC presents the first comprehensive treatment of cult buildings in western central Italy from the Iron Age to the Archaic Period. By analysing the archaeological evidence for the form of early religious buildings and their role in ancient communities, it reconstructs a detailed history of early Latial and Etruscan religious architecture that brings together the buildings and the people who used them. The first part of the study examines the processes by which religious buildings changed from huts and shrines to monumental temples, and explores apparent differences between these processes in Latium and Etruria. The second part analyses the broader architectural, religious, and topographical contexts of the first Etrusco-Italic temples alongside possible rationales for their introduction. The result is a new and extensive account of when, where, and why monumental cult buildings became features of early central Italic society.

This scarce antiquarian book is included in our special Legacy Reprint Series. In the interest of creating a more extensive selection of rare historical book reprints, we have chosen to reproduce this title even though it may possibly have occasional imperfections such as missing and blurred pages, missing text, poor pictures, markings, dark backgrounds and other reproduction issues beyond our control. Because this work is culturally important, we have made it available as a part of our commitment to protecting, preserving and promoting the world's literature.

This scarce antiquarian book is included in our special Legacy Reprint Series. In the interest of creating a more extensive selection of rare historical book reprints, we have chosen to reproduce this title even though it may possibly have occasional imperfections such as missing and blurred pages, missing text, poor pictures, markings, dark backgrounds and other reproduction issues beyond our control. Because this work is culturally important, we have made it available as a part of our commitment to protecting, preserving and promoting the world's literature.